Use a stud finder to find the wall studs . If you hit one, you could probably put two screws in vertically. I believe the wall studs are 2x2's so they should hold a small fan.
You maybe on to something with the fan under the mattress. Another option would be making a large "C" shaped stand from ply or 1xs the width of the fan's base and place lower section under under the mattress.
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2018 28BHBE
2017 Ford F250 XLT, 6.2 gasser
2013 26BH (traded)
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